THERMAL SCIENCE

International Scientific Journal

Chao Lv

,

Lu-Wei Tang

LARGE DEVIATION PRINCIPLES OF MUSSEL-ALGAE MODEL WITH STOCHASTIC DIFFUSIONS

ABSTRACT
In this work, we consider the large deviation principles of the stochastic reaction diffusion mussel-algae model. The weak convergence method is used to prove the large deviation principle by using martingale inequality, shrinkage principle and some special energy estimation.
KEYWORDS
mussel-algae model, large deviation principle, compactness weak convergence method
PAPER SUBMITTED: 2024-08-28
PAPER REVISED: 2024-11-01
PAPER ACCEPTED: 2024-11-26
PUBLISHED ONLINE: 2025-06-01
DOI REFERENCE: https://doi.org/10.2298/TSCI2502215L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE No. 2, PAGES [1215 - 1222]
REFERENCES
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[3] Cangelosi, R., et al., Non-Linear Stability Analyses of Turing Patterns for a Mussel-Algae Model, Journal of Mathematical Biology, 70 (2015), 6, pp. 1249-1294, 10.1007/s00285-014-0794-7
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Large deviation principles of mussel-algae model with stochastic diffusions

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence